| 摘要: |
| 本文在特征p>3的域上，采用将典型李超代数P（2）嵌入到奇Hamilton超代数HO的零阶化分支的方法，使得在伴随表示的意义下，HO成为P（2）-模.通过对HO进行子模分解和权空间分解，得到了P（2）到HO的低维上同调. |
| 关键词: 同构 分解 导子 上同调 |
| DOI： |
| 分类号:O152.5 |
| 基金项目:国家自然科学基金（12061029）；黑龙江省自然科学基金项目（A2015017；QC2018006）. |
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| LOW-DIMENSIONAL COHOMOLOGY OF LIE SUPERALGEBRA P(2) WITH COEFFICIENTS IN ODD HAMILTONIAN SUPERALGEBRA HO |
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HUO Xue-tong1, SUN Li-ping1, LIU Wen-de2
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1.College of Sciences, Harbin University of Science and Technology, Harbin 150080, China;2.School of Mathematics and Statistics, Hainan Normal of University, Haikou 571158, China
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| Abstract: |
| In this paper, the classical Lie superalgebra P(2) is embedded into the branch of zero-order of odd Hamiltonian Lie superalgebra HO, in a field of characteristic p>3, so that HO becomes a P(2)-module in the sense of the adjoint representation. By submodule decomposition and weight space decomposition of HO, the low-dimensional cohomology of P(2) with coefficients in HO is obtained. |
| Key words: isomorphism decomposition derivation cohomology |
